GCF of 474/214, 8191/723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 474/214, 8191/723 i.e 1/154722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 474/214, 8191/723.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 474/214,8191/723?
Given fractions are 474/214,8191/723
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 474/214,8191/723, numerators are 474,8191
Denominators are 214,723
The GCF of 474,8191 is 1 .
LCM of 214,723 is 154722.
The greatest common factor of 474/214,8191/723 = [GCF of 474,8191]/[LCM of 214,723]= 1/154722
Therefore, the GCF of 474/214,8191/723 is 1/154722.
To find the highest common factor of 474,8191, we have to find the factors of both numbers and list the highest common factor.
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The factors of 8191 are 1, 8191
The HCF of 474,8191 is 1.
Lets's calculate GCF of 474,8191
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 474,8191 By Matching Biggest Common Factor Method
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Now, list down the factors of 8191
:1,8191
Greatest Common Factor
We found the factors 474,8191 . The biggest common factor number is the GCF number.
So the greatest common factor 474,8191 is 1.
Lets's calculate LCM of 214,723
Given numbers has no common factors except 1. So, there LCM is their product i.e 154722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154722
Therefore, the GCF of Fractions 474/214,8191/723 is 1/154722
Least Common Multiple of 214,723 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 214,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,723) x common factors =1 x 1 = 1
LCM(214,723) = ( 214 × 723 ) / 1
LCM(214,723) = 154722 / 1
LCM(214,723) = 154722
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FAQs on GCF of Fractions of 474/214, 8191/723
1. What is the HCF of 474,8191?
The HCF of 474,8191 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 474/214, 8191/723?
Answer: GCF of Numerators as per given numbers 474/214, 8191/723 is
GCF of Numerators i.e. for 474,8191 is 1
LCM of denominators i.e. for 214,723 is 154722.
Thus, GCF of Fractions is 1/154722.Finally, GCF of Fractions for 474/214, 8191/723 is 1/154722.